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Finding the Fourth Proportional to 729,772,847,793.30, 1,094,659,271,690 and 729,772,847,793.30

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Solution

The fourth proportional to 729,772,847,793.30, 1,094,659,271,690 and 729,772,847,793.30 is: 1,094,659,271,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,772,847,793.30 : 1,094,659,271,690 = 729,772,847,793.30 : x
  2. Step 2: Convert to fraction form
    729,772,847,793.30/1,094,659,271,690 = 729,772,847,793.30/x
  3. Step 3: Cross multiply
    729,772,847,793.30x = 1,094,659,271,690 × 729,772,847,793.30
  4. Step 4: Simplify right side
    729,772,847,793.30x = 798,852,614,064,551,015,481,344
  5. Step 5: Solve for x
    x = 798,852,614,064,551,015,481,344/729,772,847,793.30
  6. Step 6: Final answer
    x = 1,094,659,271,690

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.